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Finding the Third Proportional to 138,226 and 296,108

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Solution

The third proportional to 138,226 and 296,108 is: 634,323.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,226 : 296,108 = 296,108 : x
  2. Step 2: Convert to fraction form
    138,226/296,108 = 296,108/x
  3. Step 3: Cross multiply
    138,226x = 296,108 × 296,108
  4. Step 4: Simplify right side
    138,226x = 87,679,947,664
  5. Step 5: Solve for x
    x = 87,679,947,664/138,226
  6. Step 6: Final answer
    x = 634,323.12

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.